Elastodynamic 2D Green function retrieval from cross-correlation: Canonical inclusion problem

Geophysical Research Letters

Volumn 33, Issue 13, 2006, Pages

  Sánchez Sesma, Francisco J ^a   Pérez Ruiz, Juan A ^b   Campillo, Michel ^c   Luzón, Francisco ^b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b UNIVERSITY OF ALMERÍA   (Spain)

^c UNIVERSITÉ GRENOBLE ALPES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; ELASTIC WAVES; ELASTOHYDRODYNAMICS; ELECTROMAGNETIC WAVE SCATTERING; FOURIER TRANSFORMS; PROBLEM SOLVING;

CROSS-CORRELATION; GREEN TENSOR; PLANE WAVES; WAVEFIELDS;

GREEN'S FUNCTION;

CANONICAL ANALYSIS; ELASTODYNAMICS; FOURIER TRANSFORM; NUMERICAL METHOD; SCATTERING;

EID: 33845600704     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2006GL026454     Document Type: Article

References (20)

1. Abramowitz, M., and I. A. Stegun (1972), Handbook of Mathematical Functions, Dover, Mineola, N. Y.
2. Aki, K. (1957), Space and time spectra of stationary stochastic waves with special reference to microtremors, Bull. Earthquake Res. Inst., 35, 415-456.
3. Aki, K., and P. G. Richards (1980), Quantitative Seismology; W. H. Freeman, New York.
4. Campillo, M., and A. Paul (2003), Long range correlations in the seismic coda, Science, 299, 547-549.
5. Cox, H. (1973), Spatial correlation in arbitrary noise fields with applications to ambient sea noise, J. Acoust. Soc. Am., 54, 1289-1301.
6. Mercerat, E. D., J.-P. Vilotte, and F. J. Sánchez-Sesma (2006), Triangular spectral element simulation of 2D elastic wave propagation using unstructured triangular grids, Geophys. J. Int., in press.
7. Pao, Y.-H., and C.-C. Mow (1973), Diffraction of Elastic Waves and Dynamics Stress Concentrations, Crane Russak/Adam Hilger, New York.
8. Pérez-Ruiz, J. A., F. Luzón, and A. García-Jerez (2005), Simulation of an irregular free surface with a displacement finite difference scheme, Bull. Seismol. Soc. Am., 95, 2216-2231.
9. Ryzhik, L. V., G. C. Papanicolau, and J. B. Keller (1996), Transport equations for elastic and other waves in random media, Wave Motion, 24, 327-370.
10. Sabra, K. G., P. Gerstoft, P. Roux, W. A. Kuperman, and M. C. Fehler (2005), Extracting time-domain Green's function estimates from ambient seismic noise, Geophys. Res. Lett., 32, L03310, doi:10.1029/2004GL021862.
11. Sánchez-Sesma, F. J., and M. Campillo (1991), Diffraction of P, SV and Rayleigh waves by topographic features: A boundary integral formulation, Bull. Seismol. Soc. Am., 81, 2234-2253.
12. Sánchez-Sesma, F. J., and M. Campillo (2006), Retrieval of the Green function from cross-correlation: The canonical elastic problem, Bull. Seismol. Soc. Am., 96, 1182-1191.
13. Sato, H., and M. Fehler (1998), Wave Propagation and Scattering in the Heterogeneous Earth, Springer, New York.
14. Shapiro, N. M., and M. Campillo (2004), Emergence of broadband Rayleigh waves from correlations of the ambient seismic noise, Geophys. Res. Lett., 31, L07614, doi:10.1029/2004GL019491.
15. Shapiro, N. M., M. Campillo, L. Stehly, and M. Ritzwoller (2005), High resolution surface wave tomography from ambient seismic noise, Science, 307, 1615-1618.
16. van Manen, D.-J., J. O. A. Robertsson, and A. Curtis (2005), Modeling of wave propagation in inhomogeneous media, Phys. Rev. Lett., 94, 164301.
17. van Manen, D.-J., A. Curtis, and J. O. A. Robertsson (2006), Interferometric modelling of wave propagation in inhomogeneous elastic media using time-reversal and reciprocity, Geophysics, in press.
18. Wapenaar, K. (2004), Retrieving the elastodynamic Green's function of an arbitrary inhomogeneous medium by cross correlation, Phys. Rev. Lett., 93, 254301.
19. Weaver, R. L. (1982), On diffuse waves in solid media, J. Acoust. Soc. Am., 71, 1608-1609.
20. Weaver, R. L., and O. I. Lobkis (2004), Diffuse fields in open systems and the emergence of the Green's function, J. Acoust. Soc. Am., 116, 2731-2734.